For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Freywa
Posts: 712
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
Contact:

All matter of useless Life patterns go here. For example, the following is a methuselah that takes 946 generations to stabilise:

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``````x = 10, y = 3, rule = B3/S23
3o6bo\$obo4b3o\$obo6bo!``````
Have fun.
Princess of Science, Parcly Taxel

Tropylium
Posts: 406
Joined: May 31st, 2011, 7:12 pm
Location: Finland

This pattern makes (two copies of) a traffic light by creating each blinker separately.

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``````x = 25, y = 25, rule = B3/S23
b2o\$o2bo\$o3bo\$bo3bo\$2bo3bo\$3bo3bo\$4bo3bo\$5bo3bo\$6bo3bo\$7bo3bo\$8bo3bo\$
9bo3bo\$10bo3bo\$11bo3bo\$12bo3bo\$13bo3bo\$14bo3bo\$15bo3bo\$16bo3bo\$17bo3bo
\$18bo3bo\$19bo3bo\$20bo3bo\$21bo2bo\$22b2o!``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Tropylium wrote:This pattern makes (two copies of) a traffic light by creating each blinker separately[/code]

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Hey, I have a pile of useless discoveries... Just some examples...

1. Just three silly ways to create LWSSs:

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``````x = 9, y = 7, rule = B3/S23
2bo3b2o\$2bo3b2o\$3o3b3o2\$4bo\$4bo\$4bo!
``````

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``````x = 5, y = 5, rule = B3/S23
obo\$bo2bo\$3o\$bob2o\$ob2o!
``````

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``````x = 8, y = 4, rule = B3/S23
3b4o\$2bo\$bo5bo\$o!
``````
2. A stupid way to create two closely-spaced gliders...

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``````x = 7, y = 7, rule = B3/S23
2o\$obo3bo\$3o2bo\$b4obo\$ob4o\$2o\$2b3obo!
``````

dvgrn
Moderator
Posts: 7005
Joined: May 17th, 2009, 11:00 pm
Contact:

I can usually resist this kind of thing, but today I noticed that a kickback reaction into one of Guam's snazzy new 2G-to-G converters produces a fairly clean output glider on the same relative lane, so you get a chain reaction.

So now I wish there was a use for a really really slow one-time kickback reaction that doesn't happen until you've fed in 2^N gliders... but in the meantime, it's a nice Useless Discovery.

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``````#C N 2G-to-Gs in a spiral absorb 2^N gliders, then kick one back
x = 153, y = 173, rule = B3/S23
101b2o7b2o\$101b2o7b2o4\$105b2o\$105b2o4\$98bo\$98b3o13b2o\$101bo12b2o\$95b2o
3b2o6b2o\$94bobo10bobo\$95bo12bo2\$102b2o11b2o\$95b2o5b2o11b2o\$95b2o2\$92bo
\$91bobo18b2o\$91bobo18b2o\$92bo\$97b2o\$96bobo16b2o\$96bo18bobo\$95b2o19b2o
4\$129b2o\$128bo2bo\$129b2o\$86b2o50bo\$76b2o7bobo36bo8b2o2bobo\$70b2o4b2o7b
2o37b3o6b2o3b2o\$70b2o55bo\$81b2o43b2o13b2o\$81b2o58bo\$59b2o78bobo\$59b2o
78b2o10b2o\$72b2o60b2o15b2o\$72bobo59b2o\$73bo\$64b2o80b2o\$64b2o80b2o\$138b
o\$76b2o59bobo\$59b2o15b2o60b2o\$59b2o10b2o78b2o\$70bobo78b2o\$70bo58b2o\$
69b2o13b2o43b2o\$84bo55b2o\$72b2o3b2o6b3o37b2o7b2o4b2o\$72bobo2b2o8bo36bo
bo7b2o\$73bo50b2o\$81b2o\$80bo2bo\$81b2o8\$111b2o\$111b2o3\$105b2o\$105b2o5\$
92b2o\$91bobo\$93bo11\$79b2o\$78bobo\$80bo11\$66b2o\$65bobo\$67bo11\$53b2o\$52bo
bo\$54bo11\$40b2o\$39bobo\$41bo11\$27b2o\$26bobo\$28bo11\$14b2o\$13bobo\$15bo11\$
b2o\$obo\$2bo!``````
I manually placed seeds for a flashy explosion rather than a minimal cleanup, so I'm sure someone can find a solution with the Seeds of Destruction Game using about three blocks. Ah -- I mean, I'm sure nobody will be able to find a clean one- or two-seed solution...!

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

dvgrn wrote:I can usually resist this kind of thing, but today I noticed that a kickback reaction into one of Guam's snazzy new 2G-to-G converters produces a fairly clean output glider on the same relative lane, so you get a chain reaction.
OK. Bravo!

Freywa
Posts: 712
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
Contact:

It is well-known that the R-pentomino takes 1103 generations to stabilise. However, adding a blinker in the right location will approximately triple the period whether it is initially in one phase or the other.

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``````#C R + blinker = 3190 gens
x = 24, y = 15, rule = B3/S23
2o\$b2o\$bo12\$21b3o!``````

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``````#C R + blinker = 3319 gens
x = 23, y = 16, rule = B3/S23
2o\$b2o\$bo11\$22bo\$22bo\$22bo!``````
Princess of Science, Parcly Taxel

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Another useless one: how to arrange two pi-heptominoes so that they produce the maximum population of 2310/2314 cells.

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``````x = 21, y = 25, rule = B3/S23
obo\$obo\$3o20\$18b3o\$18bobo\$18bobo!
``````

MikeP
Posts: 83
Joined: February 7th, 2010, 9:51 am
Location: Cambridge, UK

I think of this one as the "Homer Simpson" reflector.

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``````x = 22, y = 26, rule = B3/S23
10b2o\$10b2o4\$2o\$bo\$bobo11bo\$2b2o10bo\$14b3o6\$4b2o\$4b2o2\$15b2obo\$15b2ob
3o\$21bo\$5bob2o6b2ob3o\$3b3obo4bo3bobo\$2bo4bobobobo2bobo\$3b3obob2o2bo3bo
\$5b2o6b2o!``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

MikeP wrote:I think of this one as the "Homer Simpson" reflector.

hobbyprogrammer77
Posts: 25
Joined: June 12th, 2013, 10:47 am

A one-time Herschel track:

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``````x = 100, y = 33, rule = B3/S23
2bo7b2o\$3o7b2o\$obo\$o\$11bo\$10bobo\$10bobo\$11bo27b2o\$4b2o33b2o\$4bobo\$6bo\$
6b2o32bo\$39bobo\$39bobo\$40bo27b2o\$33b2o33b2o\$33bobo\$35bo\$35b2o32bo\$68bo
bo\$68bobo\$69bo27b2o\$62b2o33b2o\$62bobo\$64bo\$64b2o32bo\$97bobo\$97bobo\$98b
o\$91b2o\$91bobo\$93bo\$93b2o!
``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Four-glider mess takes 22,502 generations to stabilize.

77 gliders and 1 lightweight spaceship are produced...

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``````x = 17, y = 13, rule = B3/S238
5bo\$4bo\$4b3o\$3o\$o\$bo12bobo\$15b2o\$15bo3\$12b3o\$14bo\$13bo!
``````
I'm not sure if the gliders come from infinity. How might I verify this?

dvgrn
Moderator
Posts: 7005
Joined: May 17th, 2009, 11:00 pm
Contact:

DivusIulius wrote:I'm not sure if the gliders come from infinity. How might I verify this?
Maybe just use shift.py to move each glider 10 ticks diagonally in the appropriate direction, and see if you still get the same final pattern. In point of fact, you don't:

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``````x = 15, y = 33, rule = B3/S238
13bo\$12bo\$12b3o3\$2bobo\$3b2o\$3bo16\$8b3o\$8bo\$9bo5\$3o\$2bo\$bo!``````
So you'd have add a kickback and turn this into a five-glider construction.

I was very surprised to see so many pulsars in the final output, by the way -- until the extra "8" in the rule string caught my eye!

My glider-rewinder script might work, too -- as you step backwards there will come a point when the script refuses to rewind one of the gliders. I've been threatening to get back to write a version that rewinds to N ticks but throws up a warning message if some objects can't be rewound. It wouldn't be terribly difficult, but it seems I haven't found the time yet...!

skomick
Posts: 81
Joined: February 11th, 2011, 11:41 pm

These gliders come from infinity though, producing the same result:

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``````x = 21, y = 12, rule = B3/S238
\$9bo\$8bo\$8b3o\$4b3o12bo\$4bo13bo\$5bo12b3o3\$17bo\$16b2o\$16bobo!
``````
Shannon Omick

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

dvgrn wrote:I was very surprised to see so many pulsars in the final output, by the way -- until the extra "8" in the rule string caught my eye!
Thanks... D'oh! I too noticed the pulsar anomaly but I didn't realize I was pasting a Pulsar Life pattern!

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

skomick wrote:These gliders come from infinity though, producing the same result
Thank you very much!

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Another useless one: how to arrange two R-pentominoes so that they produce the maximum population of 2818/2814 cells.

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``````x = 5, y = 25, rule = B3/S23
2o\$b2o\$bo20\$3bo\$2b2o\$3b2o!
``````
Edit: It takes 9,496 generations to stabilize.

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

I'm going to spam patterns that produce two somewhat closely-spaced gliders

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``````x = 4, y = 6, rule = B3/S23
b2o\$o2bo\$ob2o\$o\$b2o\$2bo!``````

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``````x = 6, y = 8, rule = B3/S23
2o\$2o5\$b3o\$3b3o!``````

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``````x = 5, y = 9, rule = B3/S23
3b2o\$bo2bo\$bo2bo\$bobo4\$2o\$2o!``````

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``````x = 9, y = 5, rule = B3/S23
2o\$2o3b3o2\$5bo2bo\$6b3o!``````

Extrementhusiast
Posts: 1844
Joined: June 16th, 2009, 11:24 pm
Location: USA

Unnecessarily expensive beacon:

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``````x = 38, y = 24, rule = B3/S23
34bo2bo\$33bo\$33bo3bo\$33b4o3\$9b2o\$9b3o\$8bob2o\$8b3o\$9bo3\$28bo\$27b3o\$26b
2obo\$26b3o\$27b2o3\$b4o\$o3bo\$4bo\$o2bo!
``````
I Like My Heisenburps! (and others)

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Old and useless... (Almost)-smallest (in terms of bounding box) patterns (after the glider, r-pentomino and their 3 x 3 predecessors), which produce glider(s).

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``````x = 5, y = 2, rule = B3/S23
3b2o\$3obo!
``````

Code: Select all

``````x = 5, y = 2, rule = B3/S23
2bobo\$5o!
``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Another oldie... Smallest (in terms of bounding box) 2-cell thick pattern which produces a LWSS:

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``````x = 7, y = 2, rule = B3/S23
2bobobo\$7o!
``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

And the smallest (in terms of bounding box) 3-cell thick pattern which produces a LWSS:

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``````x = 5, y = 3, rule = B3/S23
b4o\$b2obo\$2o2bo!
``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

And finally, the smallest (in terms of bounding box) 4-cell thick pattern which produces a LWSS:

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``````x = 4, y = 4, rule = B3/S23
b3o\$3bo\$2b2o\$3o!
``````

DivusIulius
Posts: 89
Joined: April 1st, 2009, 11:23 am
Contact:

Three-glider mess takes 8,140 generations to stabilize. 26 gliders are produced...

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``````x = 13, y = 12, rule = B3/S23
obo\$b2o\$bo3\$12bo\$10b2o\$11b2o2\$8bo\$8b2o\$7bobo!
``````

Three-glider mess takes 10,772 generations to stabilize. 20 gliders are produced...

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``````x = 21, y = 30, rule = B3/S23
20bo\$18b2o\$19b2o23\$2bo\$obo\$b2o2bo\$5bobo\$5b2o!
``````

Freywa
Posts: 712
Joined: June 23rd, 2011, 3:20 am
Location: Singapore
Contact:

``````#C Pi + R = 5548 generations to stabilise